A hierarchy with one additional quantum replica
A hierarchy with one additional quantum replica — original question and dated source context.
Problem statement
A task is -replica hard if measurements on at most copies at a time need exponentially many queries, and is -replica easy if allowing joint measurements on copies permits efficient learning. For each , are there tasks that are -replica hard but -replica easy, or -replica easy?
Lean 4
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Progress & source assessment
Historical source dated 2024-10-27. Current resolution status has not been independently reassessed; bounds and claims in the source context refer to that date.
- [1]Chen, Cotler, Huang, Li and Tang, Some Open Problems in Quantum Learning, FOCS 2024 workshop, slide 6 link
Recorded progress
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Machine attempts
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Discussion
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